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What is the domain of #h(x)= x / (x ^2 - x - 6)#?

1 Answer

Sep 7, 2015

#x in RR - {-2. 3}#

Explanation:

#h(x)=x/(x^2-x-6)# is defined for all Real values of #x#
except those values for which #x^2-x-6 = 0#

#x^2-x-6=(x+2)(x-3)#

So if #x=-2# or #x=3#
#color(white)("XXXX")x^2-x-6 =0#
and
#color(white)("XXXX")h(x)# is undefined

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